We study volume transition phenomenon in hydrogels within the framework of Flory–Rehner thermo- dynamic modelling; we show that starting from different models for the Flory parameter different conclusions can be achieved, in terms of admissible coexisting equilibria of the system. In particular, with explicit reference to a one-dimensional problem we establish the ranges of both temperature and traction which allow for the coexistence of a swollen and a shrunk phase. Through consideration of an augmented Flory–Rehner free-energy, which also accounts for the gradient of volume changes, we determine the position of the interface between the coexisting phases, and capture the connection profile between them.
Temperature-driven volume transition in hydrogels. Phase-coexistence and interface localization / Cirillo, Emilio Nicola Maria; Nardinocchi, Paola; Sciarra, Giulio. - In: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. - ISSN 0020-7462. - STAMPA. - 81:(2016), pp. 115-121. [10.1016/j.ijnonlinmec.2016.01.005]
Temperature-driven volume transition in hydrogels. Phase-coexistence and interface localization
CIRILLO, Emilio Nicola Maria;NARDINOCCHI, Paola;SCIARRA, Giulio
2016
Abstract
We study volume transition phenomenon in hydrogels within the framework of Flory–Rehner thermo- dynamic modelling; we show that starting from different models for the Flory parameter different conclusions can be achieved, in terms of admissible coexisting equilibria of the system. In particular, with explicit reference to a one-dimensional problem we establish the ranges of both temperature and traction which allow for the coexistence of a swollen and a shrunk phase. Through consideration of an augmented Flory–Rehner free-energy, which also accounts for the gradient of volume changes, we determine the position of the interface between the coexisting phases, and capture the connection profile between them.File | Dimensione | Formato | |
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